Slope
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In mathematics, the slope or gradient of a line is a number that describes the direction of the line on a plane. Often denoted by the letter m, slope is calculated as the ratio of the vertical change to the horizontal change ("rise over run") between two distinct points on the line, giving the same A slope is the ratio of the vertical distance (rise) to the horizontal distance (run) between two points, not a direct distance or a direct angle for any choice of points. To explain, a slope is the ratio of the vertical distance (rise) to the horizontal distance (run) between two points, not a direct distance or a direct angle. The line may be physical – as set by a road surveyor, pictorial as in a diagram of a road or roof, or abstract.
An application of the mathematical concept is found in the grade or gradient in geography and civil engineering.
The steepness, incline, or grade of a line is the absolute value of its slope: greater absolute value indicates a steeper line. The line trend is defined as follows:
An "increasing" or "ascending" line goes up from left to right and has positive slope:
m
>
0
{\displaystyle m>0}
.
A "decreasing" or "descending" line goes down from left to right and has negative slope:
m
<
0
{\displaystyle m
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